\[ y'(x)=\frac {x^2 \log ^2(x)+y(x)^2+y(x)-2 x y(x) \log (x)+x}{x} \] ✓ Mathematica : cpu = 0.103915 (sec), leaf count = 40
\[\left \{\left \{y(x)\to -\frac {1}{2} x^2 \left (\frac {1-2 x \log (x)}{x^2}-\frac {1}{x^2}\right )+\frac {1}{-1+\frac {c_1}{x}}\right \}\right \}\] ✓ Maple : cpu = 0.042 (sec), leaf count = 16
\[ \left \{ y \left ( x \right ) = \left ( \ln \left ( x \right ) + \left ( -x+{\it \_C1} \right ) ^{-1} \right ) x \right \} \]